Fundamental kernel-based method for backward space–time fractional diffusion problem

Based on kernel-based approximation technique, we devise in this paper an efficient and accurate numerical scheme for solving a backward space–time fractional diffusion problem (BSTFDP). The kernels used in the approximation are the fundamental solutions of the space–time fractional diffusion equati...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2016-01, Vol.71 (1), p.356-367
Hauptverfasser:	Dou, F.F., Hon, Y.C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Backward space–time fractional diffusion problem Diffusion Fourier transforms Fundamental solutions Inverse Kernel-based approximation Mathematical analysis Mathematical models Mittag-Leffler functions Optimization Regularization Tikhonov regularization
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